Since Train A starts from Washington and Train B from Baltimore, hence they are travelling in opposite direction. So the relative speed = 120 mph (90 + 30)..
Total time taken = Total distance / Relative speed => 120 / 120 = 1hr.
So the distance travelled by each train is : A - 30 miles ; B - 90 miles. Let this point of first rendevouz be X. Now the catch in the question is that they travel continuously, so there is a possibility that they may meet again while travelling in the same direction.. figure below:
Washisngton .............X............Y........... Baltimore
30m 30m 30m
Now we can observe that while Train A would had travelled another 30 miles in next 1hr (its speed is 30 mph). So it’s distance from Washington = 60 miles.
Train B would had covered the remaining 30 miles from X till Washington and backtracked to the current position of Train A by covering remaining 60m from Washington within 1 hr (train B speed is 90mph). Let this point of second meet be Y.
So the distance between Y and X = 60 – 30 = 30 miles
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